Derived units

Derived units

By dimensionally appropriate multiplication and/or division of the units shown above, derived units are obtained. Some of these are given special names.

Physical Quantity Unit name Unit Symbol Derivation
Electric Capacitance farad F (A2s4)(kgm2)
Electric charge coulomb C As
Electric Conductance siemens S (A2s3)/(kgm2)
Electric potential difference volt V (kgm2)/(As3)
Electric resistance ohm (kgm2)/ (A2s3)
Energy joule J (kgm2)/s2
Force newton N (kg m)/s2
Frequency hertz Hz 1/s
Illuminance lux lx (cd sr)/m2
Inductance henry H (kgm2)/ (A2s2)
Luminous flux lumen lm cd sr
Magnetic flux weber Wb (kgm2)/ (As2)
Magnetic flux density tesla T kg/ (As2)
Power watt W (kgm2)/s3
Pressure pascal Pa kg/ (ms2)

 

Some other derived units not having special names.

Physical Quantity Unit Unit symbol
Acceleration metre per second squared m/s2
Angular velocity radian per second rad/s
Area square metre m2
Current density ampere per square metre A/m2
Density kilogram per cubic metre kg/m3
Dynamic viscosity pascal second Pa s
Electric charge density coulomb per cubic metre C/m3
Electric field strength volt per metre V/m
Energy density joule per cubic metre J/m3
Heat capacity joule per kelvin J/K
Heat flux density watt per square metre W/m2
Kinematic viscosity square metre per second m2/s
Luminance candela per square metre cd/m2
Magnetic field strength ampere per metre A/m
Moment of force newton metre N m
Permeability henry per metre H/m
Permittivity farad per metre F/m
Specific volume cubic metre per kilogram m3/kg
Surface tension newton per metre N/m
Thermal conductivity watt per metre kelvin W/(mK)
Velocity meter per second m/s
Volume cubic metre m3